1 | MODULE ldfslp_crs |
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2 | !!====================================================================== |
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3 | !! *** MODULE ldfslp *** |
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4 | !! Ocean physics: slopes of neutral surfaces |
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5 | !!====================================================================== |
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6 | !! History : OPA ! 1994-12 (G. Madec, M. Imbard) Original code |
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7 | !! 8.0 ! 1997-06 (G. Madec) optimization, lbc |
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8 | !! 8.1 ! 1999-10 (A. Jouzeau) NEW profile in the mixed layer |
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9 | !! NEMO 1.0 ! 2002-10 (G. Madec) Free form, F90 |
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10 | !! - ! 2005-10 (A. Beckmann) correction for s-coordinates |
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11 | !! 3.3 ! 2010-10 (G. Nurser, C. Harris, G. Madec) add Griffies operator |
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12 | !! - ! 2010-11 (F. Dupond, G. Madec) bug correction in slopes just below the ML |
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13 | !!---------------------------------------------------------------------- |
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14 | #if defined key_ldfslp || defined key_esopa |
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15 | !!---------------------------------------------------------------------- |
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16 | !! 'key_ldfslp' Rotation of lateral mixing tensor |
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17 | !!---------------------------------------------------------------------- |
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18 | !! ldf_slp_grif : calculates the triads of isoneutral slopes (Griffies operator) |
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19 | !! ldf_slp : calculates the slopes of neutral surface (Madec operator) |
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20 | !! ldf_slp_mxl : calculates the slopes at the base of the mixed layer (Madec operator) |
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21 | !! ldf_slp_init : initialization of the slopes computation |
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22 | !!---------------------------------------------------------------------- |
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23 | !USE oce ! ocean dynamics and tracers |
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24 | !USE dom_oce ! ocean space and time domain |
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25 | USE ldftra_oce ! lateral diffusion: traceur |
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26 | USE ldfdyn_oce ! lateral diffusion: dynamics |
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27 | USE phycst ! physical constants |
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28 | USE zdfmxl_crs ! mixed layer depth |
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29 | USE eosbn2_crs ! equation of states |
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30 | USE crslbclnk ! ocean lateral boundary conditions (or mpp link) |
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31 | USE in_out_manager ! I/O manager |
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32 | USE prtctl ! Print control |
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33 | USE wrk_nemo ! work arrays |
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34 | USE timing ! Timing |
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35 | USE crs |
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36 | USE iom |
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37 | |
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38 | IMPLICIT NONE |
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39 | PRIVATE |
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40 | |
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41 | PUBLIC ldf_slp_crs ! routine called by step.F90 |
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42 | PUBLIC ldf_slp_grif_crs ! routine called by step.F90 |
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43 | PUBLIC ldf_slp_init_crs ! routine called by opa.F90 |
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44 | |
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45 | ! LOGICAL , PUBLIC, PARAMETER :: lk_ldfslp_crs = .TRUE. !: slopes flag |
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46 | ! !! Madec operator |
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47 | ! Arrays allocated in ldf_slp_init() routine once we know whether we're using the Griffies or Madec operator |
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48 | ! !! Griffies operator |
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49 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: wslp2 !: wslp**2 from Griffies quarter cells |
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50 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:,:) :: triadi_g, triadj_g !: skew flux slopes relative to geopotentials |
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51 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:,:) :: triadi , triadj !: isoneutral slopes relative to model-coordinate |
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52 | |
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53 | ! !! Madec operator |
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54 | ! Arrays allocated in ldf_slp_init() routine once we know whether we're using the Griffies or Madec operator |
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55 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: omlmask ! mask of the surface mixed layer at T-pt |
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56 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: uslpml, wslpiml ! i_slope at U- and W-points just below the mixed layer |
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57 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: vslpml, wslpjml ! j_slope at V- and W-points just below the mixed layer |
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58 | |
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59 | REAL(wp) :: repsln = 1.e-25_wp ! tiny value used as minium of di(rho), dj(rho) and dk(rho) |
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60 | |
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61 | !! * Substitutions |
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62 | # include "domzgr_substitute.h90" |
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63 | # include "ldftra_substitute.h90" |
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64 | # include "ldfeiv_substitute.h90" |
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65 | # include "vectopt_loop_substitute.h90" |
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66 | !!---------------------------------------------------------------------- |
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67 | !! NEMO/OPA 4.0 , NEMO Consortium (2011) |
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68 | !! $Id: ldfslp.F90 3294 2012-01-28 16:44:18Z rblod $ |
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69 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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70 | !!---------------------------------------------------------------------- |
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71 | CONTAINS |
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72 | |
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73 | SUBROUTINE ldf_slp_crs( kt, prd, pn2 ) |
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74 | !!---------------------------------------------------------------------- |
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75 | !! *** ROUTINE ldf_slp *** |
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76 | !! |
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77 | !! ** Purpose : Compute the slopes of neutral surface (slope of isopycnal |
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78 | !! surfaces referenced locally) (ln_traldf_iso=T). |
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79 | !! |
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80 | !! ** Method : The slope in the i-direction is computed at U- and |
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81 | !! W-points (uslp, wslpi) and the slope in the j-direction is |
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82 | !! computed at V- and W-points (vslp, wslpj). |
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83 | !! They are bounded by 1/100 over the whole ocean, and within the |
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84 | !! surface layer they are bounded by the distance to the surface |
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85 | !! ( slope<= depth/l where l is the length scale of horizontal |
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86 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
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87 | !! of 10cm/s) |
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88 | !! A horizontal shapiro filter is applied to the slopes |
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89 | !! ln_sco=T, s-coordinate, add to the previously computed slopes |
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90 | !! the slope of the model level surface. |
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91 | !! macro-tasked on horizontal slab (jk-loop) (2, jpk-1) |
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92 | !! [slopes already set to zero at level 1, and to zero or the ocean |
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93 | !! bottom slope (ln_sco=T) at level jpk in inildf] |
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94 | !! |
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95 | !! ** Action : - uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
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96 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
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97 | !!---------------------------------------------------------------------- |
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98 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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99 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: prd ! in situ density |
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100 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: pn2 ! Brunt-Vaisala frequency (locally ref.) |
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101 | !! |
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102 | INTEGER :: ji , jj , jk ! dummy loop indices |
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103 | INTEGER :: ii0, ii1, iku ! temporary integer |
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104 | INTEGER :: ij0, ij1, ikv ! temporary integer |
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105 | REAL(wp) :: zeps, zm1_g, zm1_2g, z1_16, zcofw ! local scalars |
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106 | REAL(wp) :: zci, zfi, zau, zbu, zai, zbi ! - - |
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107 | REAL(wp) :: zcj, zfj, zav, zbv, zaj, zbj ! - - |
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108 | REAL(wp) :: zck, zfk, zbw ! - - |
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109 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwz, zww |
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110 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdzr |
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111 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zgru, zgrv |
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112 | !!---------------------------------------------------------------------- |
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113 | ! |
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114 | IF( nn_timing == 1 ) CALL timing_start('ldf_slp_crs') |
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115 | ! |
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116 | CALL wrk_alloc( jpi_crs,jpj_crs,jpk, zwz, zww, zdzr, zgru, zgrv ) |
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117 | |
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118 | zeps = 1.e-20_wp !== Local constant initialization ==! |
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119 | z1_16 = 1.0_wp / 16._wp |
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120 | zm1_g = -1.0_wp / grav |
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121 | zm1_2g = -0.5_wp / grav |
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122 | ! |
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123 | zww(:,:,:) = 0._wp |
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124 | zwz(:,:,:) = 0._wp |
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125 | ! |
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126 | DO jk = 1, jpk !== i- & j-gradient of density ==! |
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127 | DO jj = 1, jpj_crsm1 |
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128 | DO ji = 1, jpi_crsm1 ! vector opt. |
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129 | zgru(ji,jj,jk) = umask_crs(ji,jj,jk) * ( prd(ji+1,jj ,jk) - prd(ji,jj,jk) ) |
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130 | zgrv(ji,jj,jk) = vmask_crs(ji,jj,jk) * ( prd(ji ,jj+1,jk) - prd(ji,jj,jk) ) |
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131 | END DO |
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132 | END DO |
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133 | END DO |
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134 | IF( ln_zps ) THEN ! partial steps correction at the bottom ocean level |
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135 | DO jj = 1, jpj_crsm1 |
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136 | DO ji = 1, jpi_crsm1 |
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137 | zgru(ji,jj,mbku_crs(ji,jj)) = gru_crs(ji,jj) |
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138 | zgrv(ji,jj,mbkv_crs(ji,jj)) = grv_crs(ji,jj) |
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139 | END DO |
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140 | END DO |
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141 | ENDIF |
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142 | ! |
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143 | zdzr(:,:,1) = 0._wp !== Local vertical density gradient at T-point == ! (evaluated from N^2) |
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144 | DO jk = 2, jpkm1 |
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145 | ! ! trick: tmask(ik ) = 0 => all pn2 = 0 => zdzr = 0 |
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146 | ! ! else tmask(ik+1) = 0 => pn2(ik+1) = 0 => zdzr divides by 1 |
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147 | ! ! zdzr = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point |
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148 | ! ! umask(ik+1) /= 0 => all pn2 /= 0 => zdzr divides by 2 |
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149 | ! ! NB: 1/(tmask+1) = (1-.5*tmask) substitute a / by a * ==> faster |
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150 | zdzr(:,:,jk) = zm1_g * ( prd(:,:,jk) + 1._wp ) & |
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151 | & * ( pn2(:,:,jk) + pn2(:,:,jk+1) ) * ( 1._wp - 0.5_wp * tmask_crs(:,:,jk+1) ) |
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152 | END DO |
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153 | ! |
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154 | ! !== Slopes just below the mixed layer ==! |
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155 | CALL ldf_slp_mxl_crs( prd, pn2, zgru, zgrv, zdzr ) ! output: uslpml, vslpml, wslpiml, wslpjml |
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156 | |
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157 | ! I. slopes at u and v point | uslp = d/di( prd ) / d/dz( prd ) |
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158 | ! =========================== | vslp = d/dj( prd ) / d/dz( prd ) |
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159 | ! |
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160 | DO jk = 2, jpkm1 !* Slopes at u and v points |
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161 | DO jj = 2, jpj_crsm1 |
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162 | DO ji = 2, jpi_crsm1 ! vector opt. |
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163 | ! ! horizontal and vertical density gradient at u- and v-points |
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164 | zau = zgru(ji,jj,jk) / e1u_crs(ji,jj) |
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165 | zav = zgrv(ji,jj,jk) / e2v_crs(ji,jj) |
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166 | zbu = 0.5_wp * ( zdzr(ji,jj,jk) + zdzr(ji+1,jj ,jk) ) |
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167 | zbv = 0.5_wp * ( zdzr(ji,jj,jk) + zdzr(ji ,jj+1,jk) ) |
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168 | ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
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169 | ! ! + kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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170 | zbu = MIN( zbu, -100._wp* ABS( zau ) , -7.e+3_wp/e3u_max_crs(ji,jj,jk)* ABS( zau ) ) |
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171 | zbv = MIN( zbv, -100._wp* ABS( zav ) , -7.e+3_wp/e3v_max_crs(ji,jj,jk)* ABS( zav ) ) |
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172 | !cc zbu = MIN( zbu, -100._wp* ABS( zau ) , -7.e+3_wp/e3u_crs(ji,jj,jk)* ABS( zau ) ) |
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173 | !cc zbv = MIN( zbv, -100._wp* ABS( zav ) , -7.e+3_wp/e3v_crs(ji,jj,jk)* ABS( zav ) ) |
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174 | ! ! uslp and vslp output in zwz and zww, resp. |
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175 | zfi = MAX( omlmask(ji,jj,jk), omlmask(ji+1,jj,jk) ) |
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176 | zfj = MAX( omlmask(ji,jj,jk), omlmask(ji,jj+1,jk) ) |
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177 | zwz(ji,jj,jk) = ( ( 1. - zfi) * zau / ( zbu - zeps ) & |
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178 | & + zfi * uslpml(ji,jj) & |
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179 | & * 0.5_wp * ( gdept_crs(ji+1,jj,jk)+gdept_crs(ji,jj,jk) - e3u_max_crs(ji,jj,1) ) & |
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180 | & / MAX( hmlpt_crs(ji,jj), hmlpt_crs(ji+1,jj), 5._wp ) ) * umask_crs(ji,jj,jk) |
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181 | zww(ji,jj,jk) = ( ( 1. - zfj) * zav / ( zbv - zeps ) & |
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182 | & + zfj * vslpml(ji,jj) & |
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183 | & * 0.5_wp * ( gdept_crs(ji,jj+1,jk)+ gdept_crs(ji,jj,jk)-e3v_max_crs(ji,jj,1) ) & |
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184 | & / MAX( hmlpt_crs(ji,jj), hmlpt_crs(ji,jj+1), 5. ) ) * vmask_crs(ji,jj,jk) |
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185 | !!gm modif to suppress omlmask.... (as in Griffies case) |
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186 | ! ! ! jk must be >= ML level for zf=1. otherwise zf=0. |
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187 | ! zfi = REAL( 1 - 1/(1 + jk / MAX( nmln(ji+1,jj), nmln(ji,jj) ) ), wp ) |
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188 | ! zfj = REAL( 1 - 1/(1 + jk / MAX( nmln(ji,jj+1), nmln(ji,jj) ) ), wp ) |
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189 | ! zci = 0.5 * ( fsdept(ji+1,jj,jk)+fsdept(ji,jj,jk) ) / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 10. ) ) |
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190 | ! zcj = 0.5 * ( fsdept(ji,jj+1,jk)+fsdept(ji,jj,jk) ) / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 10. ) ) |
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191 | ! zwz(ji,jj,jk) = ( zfi * zai / ( zbi - zeps ) + ( 1._wp - zfi ) * wslpiml(ji,jj) * zci ) * tmask(ji,jj,jk) |
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192 | ! zww(ji,jj,jk) = ( zfj * zaj / ( zbj - zeps ) + ( 1._wp - zfj ) * wslpjml(ji,jj) * zcj ) * tmask(ji,jj,jk) |
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193 | !!gm end modif |
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194 | END DO |
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195 | END DO |
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196 | END DO |
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197 | CALL crs_lbc_lnk( zwz, 'U', -1. ) ; CALL crs_lbc_lnk( zww, 'V', -1. ) ! lateral boundary conditions |
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198 | CALL iom_put("zwz_crs",zwz) |
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199 | CALL iom_put("zww_crs",zww) |
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200 | ! |
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201 | ! !* horizontal Shapiro filter |
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202 | DO jk = 2, jpkm1 |
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203 | DO jj = 2, jpj_crsm1, MAX(1, jpj_crs-3) ! rows jj=2 and =jpjm1 only |
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204 | DO ji = 2, jpi_crsm1 |
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205 | uslp_crs(ji,jj,jk) = z1_16 * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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206 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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207 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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208 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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209 | & + 4.* zwz(ji ,jj ,jk) ) |
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210 | vslp_crs(ji,jj,jk) = z1_16 * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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211 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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212 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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213 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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214 | & + 4.* zww(ji,jj ,jk) ) |
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215 | END DO |
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216 | END DO |
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217 | DO jj = 3, jpj_crs-2 ! other rows |
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218 | DO ji = 2, jpi_crsm1 ! vector opt. |
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219 | uslp_crs(ji,jj,jk) = z1_16 * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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220 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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221 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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222 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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223 | & + 4.* zwz(ji ,jj ,jk) ) |
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224 | vslp_crs(ji,jj,jk) = z1_16 * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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225 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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226 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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227 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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228 | & + 4.* zww(ji,jj ,jk) ) |
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229 | END DO |
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230 | END DO |
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231 | ! !* decrease along coastal boundaries |
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232 | DO jj = 2, jpj_crsm1 |
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233 | DO ji = 2, jpi_crsm1 ! vector opt. |
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234 | uslp_crs(ji,jj,jk) = uslp_crs(ji,jj,jk) * ( umask_crs(ji,jj+1,jk) + umask_crs(ji,jj-1,jk ) ) * 0.5_wp & |
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235 | & * ( umask_crs(ji,jj ,jk) + umask_crs(ji,jj ,jk+1) ) * 0.5_wp |
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236 | vslp_crs(ji,jj,jk) = vslp_crs(ji,jj,jk) * ( vmask_crs(ji+1,jj,jk) + vmask_crs(ji-1,jj,jk ) ) * 0.5_wp & |
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237 | & * ( vmask_crs(ji ,jj,jk) + vmask_crs(ji ,jj,jk+1) ) * 0.5_wp |
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238 | END DO |
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239 | END DO |
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240 | END DO |
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241 | |
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242 | |
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243 | ! II. slopes at w point | wslpi = mij( d/di( prd ) / d/dz( prd ) |
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244 | ! =========================== | wslpj = mij( d/dj( prd ) / d/dz( prd ) |
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245 | ! |
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246 | DO jk = 2, jpkm1 |
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247 | DO jj = 2, jpj_crsm1 |
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248 | DO ji = 2, jpi_crsm1 ! vector opt. |
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249 | ! !* Local vertical density gradient evaluated from N^2 |
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250 | zbw = zm1_2g * pn2 (ji,jj,jk) * ( prd (ji,jj,jk) + prd (ji,jj,jk-1) + 2. ) |
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251 | ! !* Slopes at w point |
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252 | ! ! i- & j-gradient of density at w-points |
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253 | zci = MAX( umask_crs(ji-1,jj,jk ) + umask_crs(ji,jj,jk ) & |
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254 | & + umask_crs(ji-1,jj,jk-1) + umask_crs(ji,jj,jk-1) , zeps ) * e1t_crs(ji,jj) |
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255 | zcj = MAX( vmask_crs(ji,jj-1,jk ) + vmask_crs(ji,jj,jk-1) & |
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256 | & + vmask_crs(ji,jj-1,jk-1) + vmask_crs(ji,jj,jk ) , zeps ) * e2t_crs(ji,jj) |
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257 | zai = ( zgru (ji-1,jj,jk ) + zgru (ji,jj,jk-1) & |
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258 | & + zgru (ji-1,jj,jk-1) + zgru (ji,jj,jk ) ) / zci * tmask_crs (ji,jj,jk) |
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259 | zaj = ( zgrv (ji,jj-1,jk ) + zgrv (ji,jj,jk-1) & |
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260 | & + zgrv (ji,jj-1,jk-1) + zgrv (ji,jj,jk ) ) / zcj * tmask_crs (ji,jj,jk) |
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261 | |
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262 | ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
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263 | ! ! + kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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264 | zbi = MIN( zbw ,- 100._wp* ABS( zai ) , -7.e+3_wp/e3w_max_crs(ji,jj,jk)* ABS( zai ) ) |
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265 | zbj = MIN( zbw , -100._wp* ABS( zaj ) , -7.e+3_wp/e3w_max_crs(ji,jj,jk)* ABS( zaj ) ) |
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266 | ! ! wslpi and wslpj with ML flattening (output in zwz and zww, resp.) |
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267 | zfk = MAX( omlmask(ji,jj,jk), omlmask(ji,jj,jk-1) ) ! zfk=1 in the ML otherwise zfk=0 |
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268 | zck = gdepw_crs(ji,jj,jk) / MAX( hmlp_crs(ji,jj), 10._wp ) |
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269 | zwz(ji,jj,jk) = ( zai / ( zbi - zeps ) * ( 1._wp - zfk ) + zck * wslpiml(ji,jj) * zfk ) * tmask_crs(ji,jj,jk) |
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270 | zww(ji,jj,jk) = ( zaj / ( zbj - zeps ) * ( 1._wp - zfk ) + zck * wslpjml(ji,jj) * zfk ) * tmask_crs(ji,jj,jk) |
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271 | !!gm modif to suppress omlmask.... (as in Griffies operator) |
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272 | ! ! ! jk must be >= ML level for zfk=1. otherwise zfk=0. |
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273 | ! zfk = REAL( 1 - 1/(1 + jk / nmln(ji+1,jj)), wp ) |
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274 | ! zck = fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj), 10. ) |
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275 | ! zwz(ji,jj,jk) = ( zfk * zai / ( zbi - zeps ) + ( 1._wp - zfk ) * wslpiml(ji,jj) * zck ) * tmask(ji,jj,jk) |
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276 | ! zww(ji,jj,jk) = ( zfk * zaj / ( zbj - zeps ) + ( 1._wp - zfk ) * wslpjml(ji,jj) * zck ) * tmask(ji,jj,jk) |
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277 | !!gm end modif |
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278 | END DO |
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279 | END DO |
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280 | END DO |
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281 | CALL crs_lbc_lnk( zwz, 'T', -1. ) ; CALL crs_lbc_lnk( zww, 'T', -1. ) ! lateral boundary conditions |
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282 | ! |
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283 | ! !* horizontal Shapiro filter |
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284 | DO jk = 2, jpkm1 |
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285 | DO jj = 2, jpj_crsm1, MAX(1, jpj-3) ! rows jj=2 and =jpjm1 only |
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286 | DO ji = 2, jpi_crsm1 |
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287 | zcofw = tmask_crs(ji,jj,jk) * z1_16 |
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288 | wslpi_crs(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
---|
289 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
---|
290 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
---|
291 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
---|
292 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
---|
293 | |
---|
294 | wslpj_crs(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
---|
295 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
---|
296 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
---|
297 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
---|
298 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
---|
299 | END DO |
---|
300 | END DO |
---|
301 | DO jj = 3, jpj_crs-2 ! other rows |
---|
302 | DO ji = 2, jpi_crsm1 ! vector opt. |
---|
303 | zcofw = tmask_crs(ji,jj,jk) * z1_16 |
---|
304 | wslpi_crs(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
---|
305 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
---|
306 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
---|
307 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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308 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
---|
309 | |
---|
310 | wslpj_crs(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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311 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
---|
312 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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313 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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314 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
---|
315 | END DO |
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316 | END DO |
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317 | ! !* decrease along coastal boundaries |
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318 | DO jj = 2, jpj_crsm1 |
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319 | DO ji = 2, jpi_crsm1 ! vector opt. |
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320 | zck = ( umask_crs(ji,jj,jk) + umask_crs(ji-1,jj,jk) ) & |
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321 | & * ( vmask_crs(ji,jj,jk) + vmask_crs(ji,jj-1,jk) ) * 0.25 |
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322 | wslpi_crs(ji,jj,jk) = wslpi_crs(ji,jj,jk) * zck |
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323 | wslpj_crs(ji,jj,jk) = wslpj_crs(ji,jj,jk) * zck |
---|
324 | END DO |
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325 | END DO |
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326 | END DO |
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327 | |
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328 | ! IV. Lateral boundary conditions |
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329 | ! =============================== |
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330 | CALL crs_lbc_lnk( uslp_crs , 'U', -1. ) |
---|
331 | CALL crs_lbc_lnk( vslp_crs , 'V', -1. ) |
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332 | CALL crs_lbc_lnk( wslpi_crs, 'W', -1. ) ; CALL crs_lbc_lnk( wslpj_crs, 'W', -1. ) |
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333 | ! |
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334 | CALL iom_swap( "nemo_crs" ) ! swap on the coarse grid |
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335 | CALL iom_put("zgru_crs",zgru) |
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336 | CALL iom_put("zgrv_crs",zgrv) |
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337 | CALL iom_put("zdzr_crs",zdzr) |
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338 | CALL iom_put("zwz_crs",zwz) |
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339 | CALL iom_put("zww_crs",zww) |
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340 | CALL iom_put("uslp_crs",uslp_crs) |
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341 | CALL iom_put("vslp_crs",vslp_crs) |
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342 | CALL iom_swap( "nemo" ) ! swap on the coarse grid |
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343 | ! |
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344 | CALL wrk_dealloc( jpi_crs,jpj_crs,jpk, zwz, zww, zdzr, zgru, zgrv ) |
---|
345 | ! |
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346 | IF( nn_timing == 1 ) CALL timing_stop('ldf_slp_crs') |
---|
347 | ! |
---|
348 | END SUBROUTINE ldf_slp_crs |
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349 | |
---|
350 | SUBROUTINE ldf_slp_mxl_crs( prd, pn2, p_gru, p_grv, p_dzr ) |
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351 | !!---------------------------------------------------------------------- |
---|
352 | !! *** ROUTINE ldf_slp_mxl *** |
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353 | !! |
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354 | !! ** Purpose : Compute the slopes of iso-neutral surface just below |
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355 | !! the mixed layer. |
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356 | !! |
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357 | !! ** Method : The slope in the i-direction is computed at u- & w-points |
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358 | !! (uslpml, wslpiml) and the slope in the j-direction is computed |
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359 | !! at v- and w-points (vslpml, wslpjml) with the same bounds as |
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360 | !! in ldf_slp. |
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361 | !! |
---|
362 | !! ** Action : uslpml, wslpiml : i- & j-slopes of neutral surfaces |
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363 | !! vslpml, wslpjml just below the mixed layer |
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364 | !! omlmask : mixed layer mask |
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365 | !!---------------------------------------------------------------------- |
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366 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: prd ! in situ density |
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367 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: pn2 ! Brunt-Vaisala frequency (locally ref.) |
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368 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: p_gru, p_grv ! i- & j-gradient of density (u- & v-pts) |
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369 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: p_dzr ! z-gradient of density (T-point) |
---|
370 | !! |
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371 | INTEGER :: ji , jj , jk ! dummy loop indices |
---|
372 | INTEGER :: iku, ikv, ik, ikm1 ! local integers |
---|
373 | REAL(wp) :: zeps, zm1_g, zm1_2g ! local scalars |
---|
374 | REAL(wp) :: zci, zfi, zau, zbu, zai, zbi ! - - |
---|
375 | REAL(wp) :: zcj, zfj, zav, zbv, zaj, zbj ! - - |
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376 | REAL(wp) :: zck, zfk, zbw ! - - |
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377 | !!---------------------------------------------------------------------- |
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378 | ! |
---|
379 | IF( nn_timing == 1 ) CALL timing_start('ldf_slp_mxl') |
---|
380 | ! |
---|
381 | zeps = 1.e-20_wp !== Local constant initialization ==! |
---|
382 | zm1_g = -1.0_wp / grav |
---|
383 | zm1_2g = -0.5_wp / grav |
---|
384 | ! |
---|
385 | uslpml (1,:) = 0._wp ; uslpml (jpi_crs,:) = 0._wp |
---|
386 | vslpml (1,:) = 0._wp ; vslpml (jpi_crs,:) = 0._wp |
---|
387 | wslpiml(1,:) = 0._wp ; wslpiml(jpi_crs,:) = 0._wp |
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388 | wslpjml(1,:) = 0._wp ; wslpjml(jpi_crs,:) = 0._wp |
---|
389 | ! |
---|
390 | ! !== surface mixed layer mask ! |
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391 | DO jk = 1, jpk ! =1 inside the mixed layer, =0 otherwise |
---|
392 | DO jj = 1, jpj_crs |
---|
393 | DO ji = 1, jpi_crs |
---|
394 | ik = nmln_crs(ji,jj) - 1 |
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395 | IF( jk <= ik ) THEN ; omlmask(ji,jj,jk) = 1._wp |
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396 | ELSE ; omlmask(ji,jj,jk) = 0._wp |
---|
397 | ENDIF |
---|
398 | END DO |
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399 | END DO |
---|
400 | END DO |
---|
401 | |
---|
402 | |
---|
403 | ! Slopes of isopycnal surfaces just before bottom of mixed layer |
---|
404 | ! -------------------------------------------------------------- |
---|
405 | ! The slope are computed as in the 3D case. |
---|
406 | ! A key point here is the definition of the mixed layer at u- and v-points. |
---|
407 | ! It is assumed to be the maximum of the two neighbouring T-point mixed layer depth. |
---|
408 | ! Otherwise, a n2 value inside the mixed layer can be involved in the computation |
---|
409 | ! of the slope, resulting in a too steep diagnosed slope and thus a spurious eddy |
---|
410 | ! induce velocity field near the base of the mixed layer. |
---|
411 | !----------------------------------------------------------------------- |
---|
412 | ! |
---|
413 | DO jj = 2, jpj_crsm1 |
---|
414 | DO ji = 2, jpi_crsm1 |
---|
415 | ! !== Slope at u- & v-points just below the Mixed Layer ==! |
---|
416 | ! |
---|
417 | ! !- vertical density gradient for u- and v-slopes (from dzr at T-point) |
---|
418 | iku = MIN( MAX( 1, nmln_crs(ji,jj) , nmln_crs(ji+1,jj) ) , jpkm1 ) ! ML (MAX of T-pts, bound by jpkm1) |
---|
419 | ikv = MIN( MAX( 1, nmln_crs(ji,jj) , nmln_crs(ji,jj+1) ) , jpkm1 ) ! |
---|
420 | zbu = 0.5_wp * ( p_dzr(ji,jj,iku) + p_dzr(ji+1,jj ,iku) ) |
---|
421 | zbv = 0.5_wp * ( p_dzr(ji,jj,ikv) + p_dzr(ji ,jj+1,ikv) ) |
---|
422 | ! !- horizontal density gradient at u- & v-points |
---|
423 | zau = p_gru(ji,jj,iku) / e1u_crs(ji,jj) |
---|
424 | zav = p_grv(ji,jj,ikv) / e2v_crs(ji,jj) |
---|
425 | ! !- bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
---|
426 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
---|
427 | zbu = MIN( zbu , -100._wp* ABS( zau ) , -7.e+3_wp/e3u_max_crs(ji,jj,iku)* ABS( zau ) ) |
---|
428 | zbv = MIN( zbv , -100._wp* ABS( zav ) , -7.e+3_wp/e3v_max_crs(ji,jj,ikv)* ABS( zav ) ) |
---|
429 | ! !- Slope at u- & v-points (uslpml, vslpml) |
---|
430 | uslpml(ji,jj) = zau / ( zbu - zeps ) * umask_crs(ji,jj,iku) |
---|
431 | vslpml(ji,jj) = zav / ( zbv - zeps ) * vmask_crs(ji,jj,ikv) |
---|
432 | ! |
---|
433 | ! !== i- & j-slopes at w-points just below the Mixed Layer ==! |
---|
434 | ! |
---|
435 | ik = MIN( nmln_crs(ji,jj) + 1, jpk ) |
---|
436 | ikm1 = MAX( 1, ik-1 ) |
---|
437 | ! !- vertical density gradient for w-slope (from N^2) |
---|
438 | zbw = zm1_2g * pn2 (ji,jj,ik) * ( prd (ji,jj,ik) + prd (ji,jj,ikm1) + 2. ) |
---|
439 | ! !- horizontal density i- & j-gradient at w-points |
---|
440 | zci = MAX( umask_crs(ji-1,jj,ik ) + umask_crs(ji,jj,ik ) & |
---|
441 | & + umask_crs(ji-1,jj,ikm1) + umask_crs(ji,jj,ikm1) , zeps ) * e1t_crs(ji,jj) |
---|
442 | zcj = MAX( vmask_crs(ji,jj-1,ik ) + vmask_crs(ji,jj,ik ) & |
---|
443 | & + vmask_crs(ji,jj-1,ikm1) + vmask_crs(ji,jj,ikm1) , zeps ) * e2t_crs(ji,jj) |
---|
444 | zai = ( p_gru(ji-1,jj,ik ) + p_gru(ji,jj,ik) & |
---|
445 | & + p_gru(ji-1,jj,ikm1) + p_gru(ji,jj,ikm1 ) ) / zci * tmask_crs(ji,jj,ik) |
---|
446 | zaj = ( p_grv(ji,jj-1,ik ) + p_grv(ji,jj,ik ) & |
---|
447 | & + p_grv(ji,jj-1,ikm1) + p_grv(ji,jj,ikm1) ) / zcj * tmask_crs(ji,jj,ik) |
---|
448 | ! !- bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
---|
449 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
---|
450 | zbi = MIN( zbw , -100._wp* ABS( zai ) , -7.e+3_wp/e3w_max_crs(ji,jj,ik)* ABS( zai ) ) |
---|
451 | zbj = MIN( zbw , -100._wp* ABS( zaj ) , -7.e+3_wp/e3w_max_crs(ji,jj,ik)* ABS( zaj ) ) |
---|
452 | ! !- i- & j-slope at w-points (wslpiml, wslpjml) |
---|
453 | wslpiml(ji,jj) = zai / ( zbi - zeps ) * tmask_crs (ji,jj,ik) |
---|
454 | wslpjml(ji,jj) = zaj / ( zbj - zeps ) * tmask_crs (ji,jj,ik) |
---|
455 | END DO |
---|
456 | END DO |
---|
457 | !!gm this lbc_lnk should be useless.... |
---|
458 | CALL crs_lbc_lnk( uslpml , 'U', -1. ) ; CALL crs_lbc_lnk( vslpml , 'V', -1. ) ! lateral boundary cond. (sign change) |
---|
459 | CALL crs_lbc_lnk( wslpiml, 'W', -1. ) ; CALL crs_lbc_lnk( wslpjml, 'W', -1. ) ! lateral boundary conditions |
---|
460 | ! |
---|
461 | IF( nn_timing == 1 ) CALL timing_stop('ldf_slp_mxl') |
---|
462 | ! |
---|
463 | END SUBROUTINE ldf_slp_mxl_crs |
---|
464 | |
---|
465 | |
---|
466 | SUBROUTINE ldf_slp_init_crs |
---|
467 | !!---------------------------------------------------------------------- |
---|
468 | !! *** ROUTINE ldf_slp_init *** |
---|
469 | !! |
---|
470 | !! ** Purpose : Initialization for the isopycnal slopes computation |
---|
471 | !! |
---|
472 | !! ** Method : read the nammbf namelist and check the parameter |
---|
473 | !! values called by tra_dmp at the first timestep (nit000) |
---|
474 | !!---------------------------------------------------------------------- |
---|
475 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
476 | INTEGER :: ierr ! local integer |
---|
477 | !!---------------------------------------------------------------------- |
---|
478 | ! |
---|
479 | IF( nn_timing == 1 ) CALL timing_start('ldf_slp_init') |
---|
480 | ! |
---|
481 | IF(lwp) THEN |
---|
482 | WRITE(numout,*) |
---|
483 | WRITE(numout,*) 'ldf_slp_init_crs : direction of lateral mixing' |
---|
484 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
485 | ENDIF |
---|
486 | |
---|
487 | IF( ln_traldf_grif ) THEN ! Griffies operator : triad of slopes |
---|
488 | ALLOCATE( triadi_g(jpi_crs,jpj_crs,jpk,0:1,0:1) , triadj_g(jpi_crs,jpj_crs,jpk,0:1,0:1) , wslp2(jpi_crs,jpj_crs,jpk) , STAT=ierr ) |
---|
489 | ALLOCATE( triadi (jpi_crs,jpj_crs,jpk,0:1,0:1) , triadj (jpi_crs,jpj_crs,jpk,0:1,0:1) , STAT=ierr ) |
---|
490 | IF( ierr > 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate Griffies operator slope' ) |
---|
491 | ! |
---|
492 | IF( ln_dynldf_iso ) CALL ctl_stop( 'ldf_slp_init: Griffies operator on momentum not supported' ) |
---|
493 | ! |
---|
494 | ELSE ! Madec operator : slopes at u-, v-, and w-points |
---|
495 | ALLOCATE( uslp_crs(jpi_crs,jpj_crs,jpk) , vslp_crs(jpi_crs,jpj_crs,jpk) , wslpi_crs(jpi_crs,jpj_crs,jpk) , wslpj_crs(jpi_crs,jpj_crs,jpk) , & |
---|
496 | & omlmask(jpi_crs,jpj_crs,jpk) , uslpml(jpi_crs,jpj_crs) , vslpml(jpi_crs,jpj_crs) , wslpiml(jpi_crs,jpj_crs) , wslpjml(jpi_crs,jpj_crs) , STAT=ierr ) |
---|
497 | IF( ierr > 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate Madec operator slope ' ) |
---|
498 | |
---|
499 | ! Direction of lateral diffusion (tracers and/or momentum) |
---|
500 | ! ------------------------------ |
---|
501 | uslp_crs (:,:,:) = 0._wp ; uslpml (:,:) = 0._wp ! set the slope to zero (even in s-coordinates) |
---|
502 | vslp_crs (:,:,:) = 0._wp ; vslpml (:,:) = 0._wp |
---|
503 | wslpi_crs(:,:,:) = 0._wp ; wslpiml(:,:) = 0._wp |
---|
504 | wslpj_crs(:,:,:) = 0._wp ; wslpjml(:,:) = 0._wp |
---|
505 | |
---|
506 | !!gm I no longer understand this..... |
---|
507 | IF( (ln_traldf_hor .OR. ln_dynldf_hor) .AND. .NOT. (lk_vvl .AND. ln_rstart) ) THEN |
---|
508 | IF(lwp) WRITE(numout,*) ' Horizontal mixing in s-coordinate: slope = slope of s-surfaces' |
---|
509 | |
---|
510 | ! geopotential diffusion in s-coordinates on tracers and/or momentum |
---|
511 | ! The slopes of s-surfaces are computed once (no call to ldfslp in step) |
---|
512 | ! The slopes for momentum diffusion are i- or j- averaged of those on tracers |
---|
513 | |
---|
514 | ! set the slope of diffusion to the slope of s-surfaces |
---|
515 | ! ( c a u t i o n : minus sign as fsdep has positive value ) |
---|
516 | DO jk = 1, jpk |
---|
517 | DO jj = 2, jpj_crsm1 |
---|
518 | DO ji = 2, jpi_crsm1 ! vector opt. |
---|
519 | !cbr uslp_crs (ji,jj,jk) = -1./e1u_crs(ji,jj) * ( gdept_crs(ji+1,jj,jk) - gdept_crs(ji ,jj ,jk) ) * umask_crs(ji,jj,jk) |
---|
520 | !vslp_crs (ji,jj,jk) = -1./e2v_crs(ji,jj) * ( gdept_crs(ji,jj+1,jk) - gdept_crs(ji ,jj ,jk) ) * vmask_crs(ji,jj,jk) |
---|
521 | !wslpi_crs(ji,jj,jk) = -1./e1t_crs(ji,jj) * ( gdepw_crs(ji+1,jj,jk) - gdepw_crs(ji-1,jj,jk) ) * tmask_crs(ji,jj,jk) * 0.5 |
---|
522 | !wslpj_crs(ji,jj,jk) = -1./e2t_crs(ji,jj) * ( gdepw_crs(ji,jj+1,jk) - gdepw_crs(ji,jj-1,jk) ) * tmask_crs(ji,jj,jk) * 0.5 |
---|
523 | uslp_crs (ji,jj,jk) = -1. * ( gdept_crs(ji+1,jj,jk) - gdept_crs(ji ,jj ,jk) ) * umask_crs(ji,jj,jk) |
---|
524 | IF( e1u_crs(ji,jj) .NE. 0._wp ) uslp_crs (ji,jj,jk) = uslp_crs (ji,jj,jk) / e1u_crs(ji,jj) |
---|
525 | vslp_crs (ji,jj,jk) = -1. * ( gdept_crs(ji,jj+1,jk) - gdept_crs(ji ,jj ,jk) ) * vmask_crs(ji,jj,jk) |
---|
526 | IF( e2v_crs(ji,jj) .NE. 0._wp ) vslp_crs (ji,jj,jk) = vslp_crs (ji,jj,jk) / e2v_crs(ji,jj) |
---|
527 | wslpi_crs(ji,jj,jk) = -1. * ( gdepw_crs(ji+1,jj,jk) - gdepw_crs(ji-1,jj,jk) ) * tmask_crs(ji,jj,jk) * 0.5 |
---|
528 | IF( e1t_crs(ji,jj) .NE. 0._wp ) wslpi_crs(ji,jj,jk) = wslpi_crs(ji,jj,jk) / e1t_crs(ji,jj) |
---|
529 | wslpj_crs(ji,jj,jk) = -1. * ( gdepw_crs(ji,jj+1,jk) - gdepw_crs(ji,jj-1,jk) ) * tmask_crs(ji,jj,jk) * 0.5 |
---|
530 | IF( e2t_crs(ji,jj) .NE. 0._wp ) wslpj_crs(ji,jj,jk) = wslpj_crs(ji,jj,jk) / e2t_crs(ji,jj) |
---|
531 | END DO |
---|
532 | END DO |
---|
533 | END DO |
---|
534 | CALL crs_lbc_lnk( uslp_crs , 'U', -1. ) ; CALL crs_lbc_lnk( vslp_crs , 'V', -1. ) ! Lateral boundary conditions |
---|
535 | CALL crs_lbc_lnk( wslpi_crs, 'W', -1. ) ; CALL crs_lbc_lnk( wslpj_crs, 'W', -1. ) |
---|
536 | ENDIF |
---|
537 | ENDIF |
---|
538 | ! |
---|
539 | IF( nn_timing == 1 ) CALL timing_stop('ldf_slp_init') |
---|
540 | ! |
---|
541 | END SUBROUTINE ldf_slp_init_crs |
---|
542 | |
---|
543 | #else |
---|
544 | !!------------------------------------------------------------------------ |
---|
545 | !! Dummy module : NO Rotation of lateral mixing tensor |
---|
546 | !!------------------------------------------------------------------------ |
---|
547 | LOGICAL, PUBLIC, PARAMETER :: lk_ldfslp_crs = .FALSE. !: slopes flag |
---|
548 | CONTAINS |
---|
549 | SUBROUTINE ldf_slp_crs( kt, prd, pn2 ) ! Dummy routine |
---|
550 | INTEGER, INTENT(in) :: kt |
---|
551 | REAL, DIMENSION(:,:,:), INTENT(in) :: prd, pn2 |
---|
552 | WRITE(*,*) 'ldf_slp: You should not have seen this print! error?', kt, prd(1,1,1), pn2(1,1,1) |
---|
553 | END SUBROUTINE ldf_slp_crs |
---|
554 | SUBROUTINE ldf_slp_init_crs ! Dummy routine |
---|
555 | END SUBROUTINE ldf_slp_init_crs |
---|
556 | #endif |
---|
557 | |
---|
558 | SUBROUTINE ldf_slp_grif_crs( kt ) ! Dummy routine |
---|
559 | INTEGER, INTENT(in) :: kt |
---|
560 | WRITE(*,*) 'ldf_slp_grif: You should not have seen this print! error?', kt |
---|
561 | END SUBROUTINE ldf_slp_grif_crs |
---|
562 | |
---|
563 | !!====================================================================== |
---|
564 | END MODULE ldfslp_crs |
---|